Air at 47 degrees C, 200 kPa enters a nozzle through a cross-sectional area of 0.3 m^2 with a velocity of 200 m/s. The air leaves the nozzle with a velocity of 250 m/s and pressure of 100 kPa. Assuming that the nozzle is well insulated and operating at steady state and that the air behaves as an ideal gas, calculate (a) the mass flow rate of air in kg/s, (b) the exit area of the nozzle in m^2, and (c) the temperature of the air at the exit of the nozzle (K).